Razumikhin-type theorems on stability of neutral stochastic functional differential equations

被引：75

作者：

Huang, Lirong ^{[1
]}

Deng, Feiqi ^{[1
]}

机构：

[1] S China Univ Technol, Coll Automat Sci & Engn, Guangzhou 510640, Guangdong, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2008年 / 53卷 / 07期

关键词：

asymptotic stability; neutral systems; Razumikbin theorems; stochastic systems;

D O I：

10.1109/TAC.2008.929383

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Recently, Mao [9] initiated the study of exponential stability of neutral stochastic functional differential equations (NSFDEs) and [10] employed the Razumikhin techniques to investigated the stability problem of NSFDEs. However, the importance of general asymptotic stability has not been considered. This paper studies Razumikhin-type theorems on general pth moment asymptotic stability of NSFDEs. The theorems established in this paper work for some cases to which the existing results cannot be applied.

引用

页码：1718 / 1723

页数：6

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